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3 years ago

Jim is playing with a 1-meter-long pendulum that is hooked

1 answer:

4 0

I will help up you using these statements which I took for the same problem:

a) at the lowest position of the bob, the KE is equal to zero.

FALSE BECAUSE AT THE LOWEST POSITION THE PE IS THE LOWEST AND THE KE IS THE HIGHEST.

b) at the highest position of the bob, the PE is equal to zero.

FALSE BECAUSE AT THE HIGHEST POSITION THE PE IS THE HIGHEST

c) at the highest position of the bob, the KE is equal to zero.

TRUE: AT THE HIGHEST POSITION THE PENDULUM COMES TO ZERO SPEED AND SO THE KE IS ZERO.

d) at all the positions except the highest positions the PE is zero.

FALSE: THE PE ENERGY CHANGES WITH THE ALTITUDE AND IS ZERO ONLY AT THE BASE LEVEL.

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A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines

storchak [24]

Answer:

The null hypothesis is $H_o: \mu = 4$ .

The alternate hypothesis is $H_a: \mu \neq 4$

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

$H_o: \mu = 4$

At the alternate hypothesis we test if it is different. So

$H_a: \mu \neq 4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that $\mu = 4$

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that $n = 196, X = 4.14$

He knows that the population standard deviation is 0.83 cm.

This means that $\sigma = 0.83$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}$

$z = 2.36$

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0

3 years ago

Please helppppppppppppp

Lapatulllka [165]

Answer:

Step-by-step explanation:

3 0

3 years ago

20 points. Find the surface area of the rectangular prism.

neonofarm [45]

Answer:

Step-by-step explanation:

4 times 3 = 12 12 times 5 =60

7 0

3 years ago

Read 2 more answers

Sean, Ryan, and Justin shared a sum of money in the ratio 3 : 4 : 5. If Sean received $30, what was the sum of money shared?

Solnce55 [7]

In order to solve this problem, you need to find out how 3 of something is 30
In this case, you multiply 10.
Sean= 3×10=30
Ryan= 4×10=40
Justin= 5×10= 50
30+40+50= 120
The answer is $120
Hope this helps

7 0

3 years ago

Sierra downloaded 123 pictures from her cell phone to her computer. These pictures used 246 megabytes of space on her computer.

defon

Answer:

94 Mb

Step-by-step explanation:

123x=246Mb---->x=2Mb

46x=92Mb

3 0

3 years ago